Use a graphing calculator to solve the equation in the interval from 0 to 2 π. Round to the nearest hundredth....

7cos(2t)=3

1 answer

To solve the equation 7cos(2t) = 3 in the interval from 0 to 2π using a graphing calculator, follow these steps:

1. Enter the equation into the graphing calculator: y1 = 7cos(2x) and y2 = 3.

2. Graph the two equations.

3. Find the points of intersection on the graph between y1 and y2.

4. The x-coordinate of the points of intersection will give you the values of t that satisfy the equation in the interval from 0 to 2π.

When solving on the calculator, we see that the solutions are t ≈ 0.78 and t ≈ 5.56.

So the solutions in the interval from 0 to 2π are t ≈ 0.78 and t ≈ 5.56.